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Finding the Fourth Proportional to 2,742.84, 3,785.16 and 2,152.32

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Solution

The fourth proportional to 2,742.84, 3,785.16 and 2,152.32 is: 2,970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.84 : 3,785.16 = 2,152.32 : x
  2. Step 2: Convert to fraction form
    2,742.84/3,785.16 = 2,152.32/x
  3. Step 3: Cross multiply
    2,742.84x = 3,785.16 × 2,152.32
  4. Step 4: Simplify right side
    2,742.84x = 8,146,875.57
  5. Step 5: Solve for x
    x = 8,146,875.57/2,742.84
  6. Step 6: Final answer
    x = 2,970.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.